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Linear Stability Approach to Explain Lock-In Transition and Time Sharing in Vortex-Induced Vibrations of Slender Structures

[+] Author Affiliations
Rémi Violette

IFP/LadHyX, Palaiseau, France

Julien Szydlowski

IFP, Rueil-Malmaison, France

Emmanuel de Langre

LadHyX, CNRS - Ecole Polytechnique, Palaiseau, France

Paper No. OMAE2009-80132, pp. 869-876; 8 pages
doi:10.1115/OMAE2009-80132
From:
  • ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering
  • Volume 5: Polar and Arctic Sciences and Technology; CFD and VIV
  • Honolulu, Hawaii, USA, May 31–June 5, 2009
  • Conference Sponsors: Ocean, Offshore and Arctic Engineering Division
  • ISBN: 978-0-7918-4345-1 | eISBN: 978-0-7918-3844-0
  • Copyright © 2009 by ASME

abstract

In this paper, we use a linearized version of a wake oscillator model in order to understand VIV of flexible structures. By a simple analytical development on the stability of an infinite cable/wake system, we demonstrate the existence a temporal instability. The theoretical study is pushed further to finite structure, a tensioned cable, for which modes frequency, amplitude growth rate in time and velocity range of instability are easily derived. The developed concepts are used to explain experimentally observed behaviours of a low flexural rigidity tensioned beam undergoing VIV.

Copyright © 2009 by ASME

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